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Finding the Fourth Proportional to 176,138.75, 264,256.73 and 51,479.75

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Solution

The fourth proportional to 176,138.75, 264,256.73 and 51,479.75 is: 77,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.75 : 264,256.73 = 51,479.75 : x
  2. Step 2: Convert to fraction form
    176,138.75/264,256.73 = 51,479.75/x
  3. Step 3: Cross multiply
    176,138.75x = 264,256.73 × 51,479.75
  4. Step 4: Simplify right side
    176,138.75x = 13,603,870,396.22
  5. Step 5: Solve for x
    x = 13,603,870,396.22/176,138.75
  6. Step 6: Final answer
    x = 77,233.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.